Steady state stresses induced in a transversely isotropic elastic solid by a moving dislocation
type: Item
instance of: scholarly article
title: Steady state stresses induced in a transversely isotropic elastic solid by a moving dislocation
zbMATH Open document ID: 0824.73059
DOI: 10.1007/BF00944758
author: Robert G. Payton
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 1995-06-28T00:00:00Z
review text: This paper is concerned with the problem of a dislocation moving at constant speed in an unbounded, transversely isotropic elastic body. The connection between transient and steady state moving dislocation problems is studied. The author considers a previously obtained transient solution to the problem and, by means of an appropriate coordinate transformation, derives the steady state solution. The solution for the plane stress field is explicit and valid for dislocation speeds which are subsonic, transonic or supersonic with respect to the material wave speeds. The transient stress field caused by the moving dislocation is presented in a form which is suitable for the moving coordinate transformation and its subsequent time limit.
Mathematics Subject Classification ID: 74A60
Mathematics Subject Classification ID: 74M25
Mathematics Subject Classification ID: 74E10
zbMATH DE Number: 759673
zbMATH Keywords: coordinate transformation
zbMATH Keywords: plane stress field
reviewed by: D. Ieşan
MaRDI profile type: Publication
cites work: Steady State Problems in Anisotropic Elasticity
cites work: An application of the dynamic Betti-Rayleigh reciprocal theorem to moving-point loads in elastic media
cites work: Transient stresses in a transversely isotropic elastic solid caused by a moving dislocation
cites work: Transient stresses in a transversely isotropic elastic solid caused by a dislocation moving at tran- or supersonic speeds
cites work: Nonuniform motion of an edge dislocation in an anisotropic solid. I
full work available at URL: https://doi.org/10.1007/bf00944758
OpenAlex ID: W2031010923
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description: scientific article; zbMATH DE number 759673